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Algebraic_Properties

practice recognizing & using commutative, associative, & distributive properties

QuestionAnswer
Associative Property When adding and multiplying, you can move the parentheses to regroup the terms without changing the sum or product.
Commutative Property When adding or multiplying, changing the order of the addends or factors does not change the sum or product.
Distributive Property The product of a number and a sum is the same as adding the products when you multiply the number by each addend.
Identity Property of Multiplication When a number is multiplied by one the result is the number itself.
Identify the property demonstrated by 3x + (7 + y) = (3x + 7) + y Associative Property
Identify the property demonstrated by 3(xy) = (3x)y Associative Property
Identify the property demonstrated by 6(x - 9) = 6x -54 Distributive Property
Identify the property demonstrated by x(-3x + 5) = -3x^2 + 5x Distributive Property
Identify the property demonstrated by 4 + 7 = 7 + 4 Commutative Property
Identify the property demonstrated by abc = cab Commutative Property
Expand the following expression using the Distributive Property: -9x(x + 3) -9x^2 - 27x
Expand the following expression using the Distributive Property: 3(x - 1) 3x - 3
Rewrite the following expression using the Commutative Property: -6 + t t + -6 or t -6
Rewrite the following expression using the Commutative Property: (-2)(3)(-4) multiple correct answers including: (3)(-2)(-4) or (-2)(-4)(3) or (-4)(3)(-2)
Rewrite the following expression using the Associative Property: (5 + t) + 19 5 + (t + 19)
Rewrite the following expression using the Associative Property: (ab)c a(bc)
Created by: r_brown